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Artículo
Morse decomposition of global attractors with infinite components
dc.creator | Caraballo Garrido, Tomás | |
dc.creator | Jara Pérez, Juan Carlos | |
dc.creator | Langa Rosado, José Antonio | |
dc.creator | Valero Cuadra, José | |
dc.date.accessioned | 2015-09-30T07:12:38Z | |
dc.date.available | 2015-09-30T07:12:38Z | |
dc.date.issued | 2015 | |
dc.identifier.issn | 1078-0947 | es |
dc.identifier.uri | http://hdl.handle.net/11441/29021 | |
dc.description.abstract | In this paper we describe some dynamical properties of a Morse decomposition with a countable number of sets. In particular, we are able to prove that the gradient dynamics on Morse sets together with a separation assumption is equivalent to the existence of an ordered Lyapunov function associated to the Morse sets and also to the existence of a Morse decomposition -that is, the global attractor can be described as an increasing family of local attractors and their associated repellers. | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.relation.ispartof | Discrete and Continuous Dynamical Systems. Series A, 35(7), 2845-2861 | es |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Morse decomposition | es |
dc.subject | infinite components | es |
dc.subject | gradient dynamics | es |
dc.subject | Lyapunov function | es |
dc.subject | gradient-like semigroup | es |
dc.title | Morse decomposition of global attractors with infinite components | es |
dc.type | info:eu-repo/semantics/article | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico | es |
dc.relation.publisherversion | http://dx.doi.org/10.3934/dcds.2015.35.2845 | |
dc.identifier.doi | http://dx.doi.org/10.3934/dcds.2015.35.2845 | es |
dc.identifier.idus | https://idus.us.es/xmlui/handle/11441/29021 |
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151DCDSAaccepted.pdf | 274.4Kb | [PDF] | Ver/ | |